Question

please share a real-life experience where you saw some topic from this class(statistics) being used. Please give the source, identify the topic, and give a little explanation on how it was used.  

we have learned

probability

variances

standard deviations

frequency distrubutions and graphs

Answer 1

Probability:- while playing ludo the probability of getting a number from 1 to 6.

Varience:- Stock market or other investment returns. The stock market has return on average 7% per year. This does not mean that every year you get a 7% return, some years are more and some years are less. This variability (called volatility in stock terms) is an example of variance.

Standard Devition:-  You drive to work every and take the same route. There is both variation in the time is takes you to get to work (traffic, stop light timing etc.) and variation in the amount of gas you use (same factors of traffic, stop light time affect this). All of this variability can be measured with standard deviation.

Frequency distribution:-

Marks in Statistics of 50 Student out 0f 100

32

1. 19

32

19

50

32

19

50

45

39

62

56

52

44

39

54

29

50

55

27

84

78

52

55

27

55

89

51

52

80

85

80

51

56

80

67

67

43

45

62

77

60

49

20

62

89

32

32

38

38

59

34

32

28

38

12

55

44

48

58

42

53

43

38

58

45

39

62

56

52

44

39

54

29

50

55

27

84

78

52

55

27

55

89

51

52

80

85

80

51

56

80

67

67

43

45

62

77

60

49

20

62

89

32

32

38

38

59

34

32

28

38

12

55

44

48

58

42

53

43

38

58

50

45

39

62

56

52

44

39

54

29

50

55

27

84

78

52

55

27

55

89

51

52

80

85

80

51

56

80

67

67

43

45

62

77

60

49

20

62

89

32

32

38

38

59

34

32

28

38

12

55

44

48

58

42

53

43

38

58

From this example of60 students ,it is very difficult to get any useful information rather it is confusing to mind. First step is to express it as ascending or descending order of magnitude. The sort command of Excel can be used to arrange them in ascending order. then make a table in the following format

Table 1.2

Marks

Total Frequency

Marks

Total Frequency

In this table it is easy to see that marks 12,19 and 20 has occurred only one time and therefore we have put 1 in frequency 27 has occurred 2 times and we have put 2 in frequency table and strike out another 27, 32 has occurred 4 times, 38 has occurred 4 times,39 has occurred 2 times. We have strike through the numbers which have occurred more than one time.

Earlier this telly marks was with pencil . Now we can use sort command of Excel and can arrange the table. The representation of the data as above is known as frequency distribution. Marks are called variable x and the number of students against each mark is known as the frequency f. For example in this table the frequency of 38 is 4 as there are 4 students getting 38 marks.

Therefore a frequency distribution presents the data of a variable in tabular form by listing all possible values that a variable can take on, along with the corresponding frequency